Pith Number

pith:WQL2SDS3

pith:2012:WQL2SDS3AIU6ZAHIQY7C5VALMM

not attested not anchored not stored refs pending

Cosmological tests of sudden future singularities

Hoda Ghodsi, Mariusz P. Dabrowski, Martin A. Hendry, Tomasz Denkiewicz

arxiv:1201.6661 v3 · 2012-01-31 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQL2SDS3AIU6ZAHIQY7C5VALMM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:36:48.138212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b417a90e5b0229ec80e8863e2ed40b633b66e22e93142cded2891066abd5e09a

Aliases

arxiv: 1201.6661 · arxiv_version: 1201.6661v3 · doi: 10.48550/arxiv.1201.6661 · pith_short_12: WQL2SDS3AIU6 · pith_short_16: WQL2SDS3AIU6ZAHI · pith_short_8: WQL2SDS3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WQL2SDS3AIU6ZAHIQY7C5VALMM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b417a90e5b0229ec80e8863e2ed40b633b66e22e93142cded2891066abd5e09a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21b49ccc3757aad1cd817d9299c9dfcd113c12c1122447447d7a710da6f8b1f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-31T19:58:50Z",
    "title_canon_sha256": "4d70a4ed64ed9aeacf38dde8835bf4d4dd388d9b36071847cda994414c4f741a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6661",
    "kind": "arxiv",
    "version": 3
  }
}